Daily Practice Sheet — 20 Questions
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Daily IPM Practice — 11 May 2026
20 IPMAT-grade questions: QA MCQ (8), QA Short Answer (4), Verbal Ability (8). Difficulty: medium. Show your work for QA — formula, substitution, result.
Section A — Quantitative Ability (MCQ)
- The average of 7 numbers is 18. If one number 12 is removed, the new average is ?
(A) 18 (B) 19 (C) 20 (D) 17 - A shopkeeper marks a TV 40% above cost and gives 25% discount. His profit % is?
(A) 5% (B) 8% (C) 10% (D) 15% - If 25% of x = 40% of y, then x : y =
(A) 5:8 (B) 8:5 (C) 2:5 (D) 5:2 - SI on a sum for 3 years at 8% p.a. is Rs 720. The principal is?
(A) 2400 (B) 3000 (C) 2800 (D) 3600 - A train 180 m long crosses a pole in 12 s. Its speed in km/h?
(A) 48 (B) 54 (C) 60 (D) 72 - A can do a work in 12 days, B in 18 days. Together?
(A) 6.5d (B) 7.2d (C) 8d (D) 9d - Number of arrangements of letters of “DELHI”?
(A) 60 (B) 100 (C) 120 (D) 720 - Probability of drawing a king from a standard deck is?
(A) 1/13 (B) 1/26 (C) 1/4 (D) 4/13
Section B — Quantitative Ability (Short Answer)
- The sum of first 20 natural numbers.
- If x² − 7x + 10 = 0, find positive root.
- Area of circle with radius 14 cm (use π = 22/7).
- If a:b = 2:3 and b:c = 4:5, find a:c.
Section C — Verbal Ability
RC: “Behavioural economics combines insights from psychology with neoclassical models. Traditional theory assumes agents are rational utility-maximisers, but field evidence shows systematic deviations — loss aversion, anchoring, hyperbolic discounting. These biases are not random noise; they are predictable patterns shaped by cognitive shortcuts called heuristics. Modern policy increasingly uses ‘nudges’ — subtle changes in choice architecture — to steer behaviour without restricting freedom.”
- The passage’s central claim is that:
(A) Humans are fully rational (B) Biases are random (C) Cognitive biases are predictable and exploitable for policy (D) Heuristics always harm welfare - “Hyperbolic discounting” most likely refers to:
(A) Discounting future rewards disproportionately heavily (B) A pricing strategy (C) Currency exchange rates (D) Stock market volatility - Synonym of ubiquitous:
(A) rare (B) omnipresent (C) hidden (D) sacred - Antonym of candid:
(A) honest (B) frank (C) evasive (D) brave - Sentence correction: “Neither the students nor the teacher ___ ready.”
(A) are (B) is (C) were (D) have been - Idiom: “To bury the hatchet” means:
(A) To start a quarrel (B) To make peace (C) To hide evidence (D) To dig a grave - Choose the correct para-jumble opening sentence:
P. The committee then deliberated. Q. A proposal was tabled at noon. R. By evening a consensus emerged. S. Several members raised objections.
(A) QSPR (B) QPSR (C) PQSR (D) SQPR - Vocab-in-context: “The minister’s laconic reply silenced reporters.” Laconic means:
(A) angry (B) lengthy (C) brief and pithy (D) evasive